Effect of emitters on quantum state transfer in coupled cavity arrays

Baum, Eli; Broman, Amelia; Clarke, Trevor; Costa, Natanael C.; Mucciaccio, Jack; Alexander, Yue,; Zhang, Yuxi; Norman, Victoria; Patton, Jesse; Radulaski, Marina; Scalettar, Richard

doi:10.1103/physrevb.105.195429

Cited by 6 publications

(5 citation statements)

References 44 publications

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“…The eigenvalues are 0; 0; ±g; ± 1 + g; ± 3 + g. (22) The eigenvectors also have simple analytical expressions, which we use to construct the transmission probability, P 8 1,7 , given by…”

Section: Ssh Chain With Interactions V = W = 1 and N =mentioning

confidence: 99%

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The scaling law of the arrival time of spin systems that present pretty good transmission

Serra,

Ferrón,

Osenda

2023

J. Phys. A: Math. Theor.

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The pretty good transmission scenario implies that the probability of sending one excitation from one extreme of a spin chain to the other can reach values arbitrarily close to the unity just by waiting a time long enough. The conditions that ensure the appearance of this scenario are known for chains with different interactions and lengths. Sufficient conditions for the presence of pretty good transmission depend on the spectrum of the Hamiltonian of the spin chain. Some works suggest that the time $t_{\varepsilon}$ at which the pretty good transmission takes place scales as $1/(|\varepsilon|)^{f(N)}$, where $\varepsilon$ is the difference between the probability that a single excitation propagates from one extreme of the chain to the other and the unity, while $f(N)$ is an unknown function of the chain length. In this paper, we show that the exponent is not a simple function of the chain length but a power law of the number of linearly independent irrational eigenvalues of the one-excitation block of the Hamiltonian that enter into the expression of the probability of transmission of one excitation. We explicitly provide examples of a chain showing that the exponent changes when the couplings between the spins change while the length remains fixed. For centrosymmetric spin chains the exponent is at most $N/2$.

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Section: Ssh Chain With Interactions V = W = 1 and N =mentioning

confidence: 99%

“…They are also easier to control using external time-dependent pulses (see [12] and references therein). On the other hand, the Heisenberg Hamiltonian, or XXZ Hamiltonians, are effective Hamiltonians that model most experimental situations [13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

The scaling law of the arrival time of spin systems that present pretty good transmission

Serra,

Ferrón,

Osenda

2023

J. Phys. A: Math. Theor.

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show abstract

“…While the Tavis-Cummings model [60,61] has been considered in several works [65,68,[79][80][81][82][83][84][85][86][87][88][89][90][91][92], the setting analyzed here appears to be not much explored [63], and even less for what concerns the analysis of quantum correlations (see related studies in Refs. [93][94][95][96] also for related models in Refs.…”

Section: The Modelmentioning

confidence: 99%

Entangled time-crystal phase in an open quantum light-matter system

Mattes,

Lesanovsky,

Carollo

2023

Phys. Rev. A

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“…The availability of numerous physical systems where it is possible to actually implement the transfer protocols [5][6][7][8][9][10][11][12][13][14][15] has driven the study of different control strategies to achieve the propagation of excitations in a ballistic way, i.e. the propagation of a spin wave packet that propagates at constant velocity along the chain.…”

Section: Introductionmentioning

confidence: 99%

Understanding the propagation of excitations in quantum spin chains with different kind of interactions

Ferrón¹,

Serra²,

Osenda³

2022

Phys. Scr.

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The dynamical behavior of the quantum state of different quantum spin chains, with designed site-dependent interaction strengths, is analyzed when the initial state belongs to the one excita- tion subspace. Our results show that the inhomogeneous chains transfer single excitations with near-perfect fidelity for two different spin chain Hamiltonians. The first one is the ferromagnetic Heisenberg Hamiltonian with nearest neighbor interactions. The second spin chain has long-range anisotropic interactions, ferromagnetic in one direction and antiferromagnetic in the orthogonal plane. Both designed chains have in common a partially ordered spectrum and well-localized eigen- vectors. This physical trait unifies the description of both kinds of systems.

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Effect of emitters on quantum state transfer in coupled cavity arrays

Cited by 6 publications

References 44 publications

The scaling law of the arrival time of spin systems that present pretty good transmission

The scaling law of the arrival time of spin systems that present pretty good transmission

Entangled time-crystal phase in an open quantum light-matter system

Understanding the propagation of excitations in quantum spin chains with different kind of interactions

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